213312013 has 2 divisors, whose sum is σ = 213312014. Its totient is φ = 213312012.

The previous prime is 213312007. The next prime is 213312017. The reversal of 213312013 is 310213312.

213312013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155825289 + 57486724 = 12483^2 + 7582^2 .

It is a cyclic number.

It is not a de Polignac number, because 213312013 - 2⁵ = 213311981 is a prime.

It is a super-2 number, since 2×213312013² = 91004029780224338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213312017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106656006 + 106656007.

It is an arithmetic number, because the mean of its divisors is an integer number (106656007).

Almost surely, 2^213312013 is an apocalyptic number.

It is an amenable number.

213312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312013 is an equidigital number, since it uses as much as digits as its factorization.

213312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213312013 is about 14605.2049968496. The cubic root of 213312013 is about 597.5007269939.

Adding to 213312013 its reverse (310213312), we get a palindrome (523525325).

The spelling of 213312013 in words is "two hundred thirteen million, three hundred twelve thousand, thirteen".